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Finding the Fourth Proportional to 57,753.24, 86,629.88 and 13,977.24

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Solution

The fourth proportional to 57,753.24, 86,629.88 and 13,977.24 is: 20,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,753.24 : 86,629.88 = 13,977.24 : x
  2. Step 2: Convert to fraction form
    57,753.24/86,629.88 = 13,977.24/x
  3. Step 3: Cross multiply
    57,753.24x = 86,629.88 × 13,977.24
  4. Step 4: Simplify right side
    57,753.24x = 1,210,846,623.93
  5. Step 5: Solve for x
    x = 1,210,846,623.93/57,753.24
  6. Step 6: Final answer
    x = 20,965.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.